Abstract. In recent years, complex analysis on unbounded subdomains of Stein manifolds attracted considerable interest. There are several fundamental open problems which are well understood for bounded domains. We will look at the extension problem for CR functions defined on (part of) the boundary. After discussing a geometric characterisation of those domains for which Hartogs extension is possible (obtained in joint work with Al Boggess and the late Roman Dwilewicz), we will turn to cases where more explicit insight is possible.
Unbounded domains and envelopes of holomorphy
24.04.2019 10:00 - 11:30
Organiser:
Bernhard Lamel
Location:
Seminar room 12, 2nd floor, Oskar-Morgenstern-Platz 1, 1090 Vienna